Square root of 3304

The square root of 3304 is 57.480431 (rounded to 6 decimal places). In simplest radical form it is 2√826.

Square root of 3304

Pick any whole number from 1 to 10,000.

\sqrt{3304} = 2\sqrt{826} \approx 57.480431

How to work it out

1
The square root of 3304 is the number that multiplied by itself gives 3304.
2
3304 is between the perfect squares 57² = 3249 and 58² = 3364, so its square root is between 57 and 58.
3
Pull out the biggest square factor: 3304 = 4 × 826, so
$\sqrt{3304} = \sqrt{4 \times 826} = 2\sqrt{826}$
4
A calculator, or long division of digits, gives
$\sqrt{3304} \approx 57.480431$

LaTeX source of the formulas on this page

\[ \sqrt{3304} = 2\sqrt{826} \approx 57.480431 \]
\[ \sqrt{3304} = \sqrt{4 \times 826} = 2\sqrt{826} \]
\[ \sqrt{3304} \approx 57.480431 \]

What is the square root of 3304?

The square root of 3304 is 57.480431 (rounded to 6 decimal places). In simplest radical form it is 2√826.

Is 3304 a perfect square?

No. It lies between 57² = 3249 and 58² = 3364.

What is 3304 squared?

3304 × 3304 = 10916416.

What is the square root of 3304 rounded to 2 decimals?

57.48.